From what I hear, the ST IV bridge for the Ent-A was never intended for full-time use, it was just something they literally threw together at the last minute just for filming that one scene. Who knows, that may have been true in-universe as well!

Well, I suspect that it would have been used again for the Enterprise-A bridge in TFF had the set not been given to TNG and re-dressed as the Enterprise-D battle bridge, Stargazer bridge and ultimately numerous other sets over the next several years.

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"I managed to find Uno and Checkers, and also parts of Battleship and most of the pieces of Candy Land, which I figure, I can mix together to create a fabulous new game, CandyShipBattleLand. War never tasted so good." - Lorelai Gilmore